Rigid Cohomology over Laurent Series Fields

• Main Authors: Lazda, Christopher (Author), Pál, Ambrus (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Algebra and Applications, 21
• Subjects: Mathematics.; Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality a...

Table of Contents:

• Introduction
• First definitions and basic properties
• Finiteness with coefficients via a local monodromy theorem
• The overconvergent site, descent, and cohomology with compact support
• Absolute coefficients and arithmetic applications
• Rigid cohomology
• Adic spaces and rigid spaces
• Cohomological descent
• Index.